Finite Group DatabasebetaFinite Group DatabasebetaOrder 3328.
532 conjugacy classes of subgroups; only the 97 normal subgroups are shown.
This group has 532 conjugacy classes of subgroups — too many to draw. Only its 97 normal subgroups are shown.
Dotted edges: containments with no intermediate normal subgroup — omitted non-normal subgroups may lie between.
Splittings G = N ⋊ H with N normal; H ≅ G/N.
| N | H ≅ G/N | type |
|---|---|---|
| 1. C2×#11718840 | C2 | semidirect |
| 2. C2×#11718853 | C2 | semidirect |
| 4. C2×#11718102 | C2 | semidirect |
| 5. C2×#11718100 | C2 | semidirect |
| 6. #13112944 | C2 | semidirect |
| 7. C2×C13×#358 | C2 | semidirect |
| 39. C2×C13×Q16 | D4 | semidirect |
| 75. #88059 | D4 | semidirect |
| 77. #88052 | D4 | semidirect |
| 147. C2×#358 | D13 | semidirect |
| 251. C2×Q16 | D52 | semidirect |
| 353. C13 | #13308 | semidirect |
By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.
| subgroup | index |
|---|---|
| C2×#11718840 | 2 |
| C2×#11718853 | 2 |
| #13124508 | 2 |
| C2×#11718102 | 2 |
| C2×#11718100 | 2 |
| #13112944 | 2 |
| C2×C13×#358 | 2 |
| #13308 | 13 |